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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: PBEPBEultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-151.944020
Energy at 298.15K 
HF Energy-151.944020
Nuclear repulsion energy62.973213
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBEultrafine/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 2056 2033 0.00 74.13 0.75 0.86
2 Σg 909 899 0.00 89.08 0.50 0.67
3 Σu 1539 1522 309.57 0.00 0.00 0.00
4 Πg 224 222 0.00 86.49 0.75 0.86
4 Πg 224 222 0.00 86.49 0.75 0.86
5 Πu 131 130 27.87 0.00 0.00 0.00
5 Πu 131 130 27.87 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2607.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 2577.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBEultrafine/TZVP
B
0.16364

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.648
C2 0.000 0.000 -0.648
C3 0.000 0.000 1.968
C4 0.000 0.000 -1.968

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29691.31932.6162
C21.29692.61621.3193
C31.31932.61623.9355
C42.61621.31933.9355

picture of Carbon tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.317      
2 C 0.317      
3 C -0.317      
4 C -0.317      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.073 0.000 0.000
y 0.000 -22.073 0.000
z 0.000 0.000 -33.598
Traceless
 xyz
x 5.763 0.000 0.000
y 0.000 5.763 0.000
z 0.000 0.000 -11.526
Polar
3z2-r2-23.052
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.943 0.000 0.000
y 0.000 3.943 0.000
z 0.000 0.000 13.495


<r2> (average value of r2) Å2
<r2> 67.695
(<r2>)1/2 8.228

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-151.914174
Energy at 298.15K 
HF Energy-151.914174
Nuclear repulsion energy62.860449
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBEultrafine/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 2059 2036 0.00 88.19 0.48 0.65
2 Σg 904 894 0.00 81.07 0.35 0.52
3 Σu 1551 1534 359.47 0.00 0.00 0.00
4 Πg 472 466 0.00 0.39 0.75 0.86
4 Πg 183i 181i 0.00 48.05 0.75 0.86
5 Πu 195 193 6.78 0.00 0.00 0.00
5 Πu 82 81 40.83 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2540.5 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 2511.6 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBEultrafine/TZVP
B
0.16303

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.971
C4 0.000 0.000 -1.971

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30151.32032.6218
C21.30152.62181.3203
C31.32032.62183.9421
C42.62181.32033.9421

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.312      
2 C 0.312      
3 C -0.312      
4 C -0.312      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.291 0.000 0.000
y 0.000 -24.056 0.000
z 0.000 0.000 -33.461
Traceless
 xyz
x 8.468 0.000 0.000
y 0.000 2.820 0.000
z 0.000 0.000 -11.287
Polar
3z2-r2-22.575
x2-y23.765
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.943 0.000 0.000
y 0.000 3.943 0.000
z 0.000 0.000 13.495


<r2> (average value of r2) Å2
<r2> 67.900
(<r2>)1/2 8.240